{"title":"Refined generalized theory for thermoelastic waves in a hollow sphere due to maintained constant temperature and radial stress","authors":"Zahra S. Hafed , Ashraf M. Zenkour","doi":"10.1016/j.csite.2025.105905","DOIUrl":null,"url":null,"abstract":"<div><div>The article introduces thermoelastic waves in a hollow sphere under maintained constant temperature and radial stress. A unified thermal conduction equation is derived due to Green and Naghdi II, III, three-phase-lag, and Lord and Shulman coupled thermoelastic theories. The problem is treated analytically adopting Laplace transform. The analytical explanation of the thermoelastic response of hollow spheres has been obtainable to presume temperature, radial displacement, thermoelastic potential, dilatation, and stresses. A lot of comparisons of the outcomes for the three theories are presented. The effects of two thermoelastic parameters as well as the dimensionless time on the field variables are examined.</div></div>","PeriodicalId":9658,"journal":{"name":"Case Studies in Thermal Engineering","volume":"68 ","pages":"Article 105905"},"PeriodicalIF":6.4000,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Case Studies in Thermal Engineering","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2214157X25001650","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/17 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"THERMODYNAMICS","Score":null,"Total":0}
引用次数: 0
Abstract
The article introduces thermoelastic waves in a hollow sphere under maintained constant temperature and radial stress. A unified thermal conduction equation is derived due to Green and Naghdi II, III, three-phase-lag, and Lord and Shulman coupled thermoelastic theories. The problem is treated analytically adopting Laplace transform. The analytical explanation of the thermoelastic response of hollow spheres has been obtainable to presume temperature, radial displacement, thermoelastic potential, dilatation, and stresses. A lot of comparisons of the outcomes for the three theories are presented. The effects of two thermoelastic parameters as well as the dimensionless time on the field variables are examined.
期刊介绍：
Case Studies in Thermal Engineering provides a forum for the rapid publication of short, structured Case Studies in Thermal Engineering and related Short Communications. It provides an essential compendium of case studies for researchers and practitioners in the field of thermal engineering and others who are interested in aspects of thermal engineering cases that could affect other engineering processes. The journal not only publishes new and novel case studies, but also provides a forum for the publication of high quality descriptions of classic thermal engineering problems. The scope of the journal includes case studies of thermal engineering problems in components, devices and systems using existing experimental and numerical techniques in the areas of mechanical, aerospace, chemical, medical, thermal management for electronics, heat exchangers, regeneration, solar thermal energy, thermal storage, building energy conservation, and power generation. Case studies of thermal problems in other areas will also be considered.
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